Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963:
This book describes the groundbreaking work of Chaim Leib Pekeris and his collaborators. Between 1955 and 1963 they used the first electronic computer built in Israel, the Weizmann Automatic Computer (WEIZAC), to develop powerful numerical methods that helped achieve new and accurate solutions of th...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
2023
|
| Schriftenreihe: | SpringerBriefs in the History of Science and Technology
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | This book describes the groundbreaking work of Chaim Leib Pekeris and his collaborators. Between 1955 and 1963 they used the first electronic computer built in Israel, the Weizmann Automatic Computer (WEIZAC), to develop powerful numerical methods that helped achieve new and accurate solutions of the Boltzmann equation, calculate energy levels of the helium atom, produce detailed geophysical and seismological models derived from the study of the free oscillations of the earth, and refine models used to predict meteorological phenomena and global oceanic tides. This book provides a unique account of the pioneering work of Chaim L. Pekeris in applied mathematics and explains in detail the background to the rise of the Weizmann Institute as a world-class center of scientific excellence. This hitherto untold story is of great interest to historians of twentieth-century science with special emphasis on the application of computer-assisted numerical methods in various branches of mathematical physics |
| Beschreibung: | ix, 123 Seiten Illustrationen 24 cm |
| ISBN: | 9783031271243 |
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| 520 | 3 | |a This book describes the groundbreaking work of Chaim Leib Pekeris and his collaborators. Between 1955 and 1963 they used the first electronic computer built in Israel, the Weizmann Automatic Computer (WEIZAC), to develop powerful numerical methods that helped achieve new and accurate solutions of the Boltzmann equation, calculate energy levels of the helium atom, produce detailed geophysical and seismological models derived from the study of the free oscillations of the earth, and refine models used to predict meteorological phenomena and global oceanic tides. This book provides a unique account of the pioneering work of Chaim L. Pekeris in applied mathematics and explains in detail the background to the rise of the Weizmann Institute as a world-class center of scientific excellence. This hitherto untold story is of great interest to historians of twentieth-century science with special emphasis on the application of computer-assisted numerical methods in various branches of mathematical physics | |
| 600 | 1 | 7 | |a Pekeris, C. L. |d 1908-1993 |0 (DE-588)1055346368 |2 gnd |9 rswk-swf |
| 648 | 7 | |a Geschichte 1955-1963 |2 gnd |9 rswk-swf | |
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| 653 | 0 | |a Philosophy of science | |
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| 653 | 0 | |a Pure sciences. Natural sciences (general) | |
| 653 | 0 | |a Engineering sciences. Technology | |
| 653 | 0 | |a Computer. Automation | |
| 653 | 0 | |a wetenschapsgeschiedenis | |
| 653 | 0 | |a innovatiemanagement | |
| 653 | 0 | |a technologie | |
| 653 | 0 | |a technologische innovatie | |
| 653 | 0 | |a innovaties | |
| 653 | 0 | |a wetenschapsfilosofie | |
| 653 | 0 | |a computergeschiedenis | |
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Datensatz im Suchindex
| _version_ | 1804186088011464704 |
|---|---|
| adam_text | CONTENTS
1
INTRODUCTION: WEIZAC, PEKERIS,
AND
APPLIED
MATHEMATICS
........
1
REFERENCES
.....................................................
10
2
NUMERICAL ANALYSIS
IN
THE
AGE
OF
ELECTRONIC COMPUTING
...........
11
2.1 METHODS
..................................................
15
2.2 INSTITUTIONS
................................................
19
2.3
HUMAN
CHALLENGES
.........................................
23
2.4 NUMERICAL ANALYSIS
WITH
WEIZAC
...........................
25
REFERENCES
.....................................................
27
3
INTEGRAL EQUATIONS
.............................................
31
3.1
FROM FREDHOLM
TO
HILBERT
AND
BEYOND
.........................
33
3.2
BOLTZMANN-HILBERT
EQUATION
WITH
WEIZAC
....................
34
3.3 FURTHER
WORK
ON
INTEGRAL
EQUATIONS
...........................
41
REFERENCES
.....................................................
44
4
OSCILLATIONS
OF
THE
EARTH
........................................
47
4.1
FROM
CLASSICAL
PHYSICS
TO
CALTECH S
SEISMOGRAPHS
..............
48
4.2
PEKERIS
AND
GEOPHYSICAL RESEARCH IN
ISRAEL
.....................
53
4.3 ALTERMAN, JAROSCH,
AND
PEKERIS
ON
EARTH OSCILLATIONS
............
59
4.3.1 AJP S FORMULATION
OF
THE
OSCILLATIONS PROBLEM
...........
60
4.3.2 OSCILLATIONS
AND
RUNGE-KUTTA
WITH
WEIZAC
............
63
4.4
AFTERMATH
.................................................
67
4.5 OCEAN
TIDES
...............................................
70
REFERENCES
.....................................................
70
5
GROUND
STATE
OF
HELIUM
.........................................
73
5.1
FROM GOETTINGEN
TO
MIT
.....................................
73
5.2
PEKERIS
AND
THE
HELIUM
ATOM
................................
83
5.2.1 HELIUM EQUATIONS
WITH
WEIZAC
.......................
88
5.3
AFTERMATH
.................................................
92
REFERENCES
.....................................................
94
VII
$
B1IOTHEK
DEUTSCHES
MUSEUM
HLUENCHE A
VIII
CONTENTS
6 ADDITIONAL
RESEARCH
WITH
WEIZAC
..............................
99
6.1 NUCLEAR
MAGNETIC
RESONANCE
................................
100
6.2
MAGNETISM
AND
FERROMAGNETIC
MATERIALS
.......................
102
6.3 ATOMIC
SPECTROSCOPY
.......................................
103
REFERENCES
.....................................................
109
7 MATHEMATICS
AT
WIS AFTER
WEIZAC,
APPLIED,
AND
PURE
...........
111
REFERENCES
.....................................................
118
8 CONCLUDING
REMARKS
...........................................
119
INDEX
.............................................................
121
|
| adam_txt |
CONTENTS
1
INTRODUCTION: WEIZAC, PEKERIS,
AND
APPLIED
MATHEMATICS
.
1
REFERENCES
.
10
2
NUMERICAL ANALYSIS
IN
THE
AGE
OF
ELECTRONIC COMPUTING
.
11
2.1 METHODS
.
15
2.2 INSTITUTIONS
.
19
2.3
HUMAN
CHALLENGES
.
23
2.4 NUMERICAL ANALYSIS
WITH
WEIZAC
.
25
REFERENCES
.
27
3
INTEGRAL EQUATIONS
.
31
3.1
FROM FREDHOLM
TO
HILBERT
AND
BEYOND
.
33
3.2
BOLTZMANN-HILBERT
EQUATION
WITH
WEIZAC
.
34
3.3 FURTHER
WORK
ON
INTEGRAL
EQUATIONS
.
41
REFERENCES
.
44
4
OSCILLATIONS
OF
THE
EARTH
.
47
4.1
FROM
CLASSICAL
PHYSICS
TO
CALTECH'S
SEISMOGRAPHS
.
48
4.2
PEKERIS
AND
GEOPHYSICAL RESEARCH IN
ISRAEL
.
53
4.3 ALTERMAN, JAROSCH,
AND
PEKERIS
ON
EARTH OSCILLATIONS
.
59
4.3.1 AJP'S FORMULATION
OF
THE
OSCILLATIONS PROBLEM
.
60
4.3.2 OSCILLATIONS
AND
RUNGE-KUTTA
WITH
WEIZAC
.
63
4.4
AFTERMATH
.
67
4.5 OCEAN
TIDES
.
70
REFERENCES
.
70
5
GROUND
STATE
OF
HELIUM
.
73
5.1
FROM GOETTINGEN
TO
MIT
.
73
5.2
PEKERIS
AND
THE
HELIUM
ATOM
.
83
5.2.1 HELIUM EQUATIONS
WITH
WEIZAC
.
88
5.3
AFTERMATH
.
92
REFERENCES
.
94
VII
$
B1IOTHEK
DEUTSCHES
MUSEUM
HLUENCHE'A
VIII
CONTENTS
6 ADDITIONAL
RESEARCH
WITH
WEIZAC
.
99
6.1 NUCLEAR
MAGNETIC
RESONANCE
.
100
6.2
MAGNETISM
AND
FERROMAGNETIC
MATERIALS
.
102
6.3 ATOMIC
SPECTROSCOPY
.
103
REFERENCES
.
109
7 MATHEMATICS
AT
WIS AFTER
WEIZAC,
APPLIED,
AND
PURE
.
111
REFERENCES
.
118
8 CONCLUDING
REMARKS
.
119
INDEX
.
121 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Corry, Leo 1956- Leviathan, Raya ca. 20./21. Jahrhundert |
| author_GND | (DE-588)172947472 (DE-588)1198877405 |
| author_facet | Corry, Leo 1956- Leviathan, Raya ca. 20./21. Jahrhundert |
| author_role | aut aut |
| author_sort | Corry, Leo 1956- |
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| bvnumber | BV049383920 |
| contents | 1. Introduction: Pekeris, Computing and Applied Mathematics -- 2. Numerical Analysis in the Age of Electronic Computing -- 3. Integral Equations -- 4. Oscillations of the Earth -- 5. Ground State of Helium -- 6. Additional Research with Weizac -- 7. Concluding Remarks -- Mathematics at Wis, Applied and Pure -- 8. References |
| ctrlnum | (OCoLC)1416406059 (DE-599)BVBBV049383920 |
| era | Geschichte 1955-1963 gnd |
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| id | DE-604.BV049383920 |
| illustrated | Illustrated |
| index_date | 2024-07-03T22:59:42Z |
| indexdate | 2024-07-10T10:05:34Z |
| institution | BVB |
| isbn | 9783031271243 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034711490 |
| oclc_num | 1416406059 |
| open_access_boolean | |
| owner | DE-210 |
| owner_facet | DE-210 |
| physical | ix, 123 Seiten Illustrationen 24 cm |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in the History of Science and Technology |
| spelling | Corry, Leo 1956- Verfasser (DE-588)172947472 aut Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 Leo Corry ; Raya Leviathan Cham, Switzerland Springer 2023 ix, 123 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier SpringerBriefs in the History of Science and Technology 1. Introduction: Pekeris, Computing and Applied Mathematics -- 2. Numerical Analysis in the Age of Electronic Computing -- 3. Integral Equations -- 4. Oscillations of the Earth -- 5. Ground State of Helium -- 6. Additional Research with Weizac -- 7. Concluding Remarks -- Mathematics at Wis, Applied and Pure -- 8. References This book describes the groundbreaking work of Chaim Leib Pekeris and his collaborators. Between 1955 and 1963 they used the first electronic computer built in Israel, the Weizmann Automatic Computer (WEIZAC), to develop powerful numerical methods that helped achieve new and accurate solutions of the Boltzmann equation, calculate energy levels of the helium atom, produce detailed geophysical and seismological models derived from the study of the free oscillations of the earth, and refine models used to predict meteorological phenomena and global oceanic tides. This book provides a unique account of the pioneering work of Chaim L. Pekeris in applied mathematics and explains in detail the background to the rise of the Weizmann Institute as a world-class center of scientific excellence. This hitherto untold story is of great interest to historians of twentieth-century science with special emphasis on the application of computer-assisted numerical methods in various branches of mathematical physics Pekeris, C. L. 1908-1993 (DE-588)1055346368 gnd rswk-swf Geschichte 1955-1963 gnd rswk-swf WEIZAC Computer (DE-588)1240410506 gnd rswk-swf Technikphilosophie (DE-588)4126976-7 gnd rswk-swf Philosophy of science Economic production Pure sciences. Natural sciences (general) Engineering sciences. Technology Computer. Automation wetenschapsgeschiedenis innovatiemanagement technologie technologische innovatie innovaties wetenschapsfilosofie computergeschiedenis Pekeris, C. L. 1908-1993 (DE-588)1055346368 p WEIZAC Computer (DE-588)1240410506 s Technikphilosophie (DE-588)4126976-7 s Geschichte 1955-1963 z DE-604 Leviathan, Raya ca. 20./21. Jahrhundert Verfasser (DE-588)1198877405 aut Erscheint auch als Online-Ausgabe 978-3-031-27125-0 Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034711490&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Corry, Leo 1956- Leviathan, Raya ca. 20./21. Jahrhundert Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 1. Introduction: Pekeris, Computing and Applied Mathematics -- 2. Numerical Analysis in the Age of Electronic Computing -- 3. Integral Equations -- 4. Oscillations of the Earth -- 5. Ground State of Helium -- 6. Additional Research with Weizac -- 7. Concluding Remarks -- Mathematics at Wis, Applied and Pure -- 8. References Pekeris, C. L. 1908-1993 (DE-588)1055346368 gnd WEIZAC Computer (DE-588)1240410506 gnd Technikphilosophie (DE-588)4126976-7 gnd |
| subject_GND | (DE-588)1055346368 (DE-588)1240410506 (DE-588)4126976-7 |
| title | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 |
| title_auth | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 |
| title_exact_search | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 |
| title_exact_search_txtP | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 |
| title_full | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 Leo Corry ; Raya Leviathan |
| title_fullStr | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 Leo Corry ; Raya Leviathan |
| title_full_unstemmed | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 Leo Corry ; Raya Leviathan |
| title_short | Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963 |
| title_sort | chaim l pekeris and the art of applying mathematics with weizac 1955 1963 |
| topic | Pekeris, C. L. 1908-1993 (DE-588)1055346368 gnd WEIZAC Computer (DE-588)1240410506 gnd Technikphilosophie (DE-588)4126976-7 gnd |
| topic_facet | Pekeris, C. L. 1908-1993 WEIZAC Computer Technikphilosophie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034711490&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT corryleo chaimlpekerisandtheartofapplyingmathematicswithweizac19551963 AT leviathanraya chaimlpekerisandtheartofapplyingmathematicswithweizac19551963 |